Find T and N for the curve 7(t) = (3 cos(5t), 3 sin(5t), 2t) at the point t = 0 COS Give your answers to two decimal places T (0) = Ñ (0) -

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:**

Find \(\mathbf{T}\) and \(\mathbf{N}\) for the curve \(\mathbf{r}(t) = \langle 3\cos(5t), 3\sin(5t), 2t \rangle\) at the point \(t = 0\).

Give your answers to two decimal places.

**Answer Boxes:**

\[
\mathbf{T}(0) = 
\begin{bmatrix}
\phantom{xx} & \phantom{xx} & \phantom{xx}
\end{bmatrix}
\]

\[
\mathbf{N}(0) = 
\begin{bmatrix}
\phantom{xx} & \phantom{xx} & \phantom{xx}
\end{bmatrix}
\]
Transcribed Image Text:**Problem Statement:** Find \(\mathbf{T}\) and \(\mathbf{N}\) for the curve \(\mathbf{r}(t) = \langle 3\cos(5t), 3\sin(5t), 2t \rangle\) at the point \(t = 0\). Give your answers to two decimal places. **Answer Boxes:** \[ \mathbf{T}(0) = \begin{bmatrix} \phantom{xx} & \phantom{xx} & \phantom{xx} \end{bmatrix} \] \[ \mathbf{N}(0) = \begin{bmatrix} \phantom{xx} & \phantom{xx} & \phantom{xx} \end{bmatrix} \]
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